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Ishikawa and Mann Iterative Process with Errors for Nonlinear Strongly Accretive Mappings in Banach Spaces

✍ Scribed by L.S. Liu

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
430 KB
Volume
194
Category
Article
ISSN
0022-247X

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Ishikawa iterative process with errors f
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## Abstract The concept of the operators of generalized monotone type is introduced and iterative approximation methods for a fixed point of such operators by the Ishikawa and Mann iteration schemes {xn} and {yn} with errors is studied. Let __X__ be a real Banach space and __T__ : __D__ βŠ‚ __X__ β†’ 2

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114᎐125 converge strongly to the solution of the equation Tx s f. Furthermore, if E is a uniformly smooth Banach space and T : E Βͺ E is demicontinuous and strongly accretive, it is also proved that both the Ishikawa and the Mann iteration methods with errors converge strongly to the solution of the